5955757319040 has 256 divisors, whose sum is σ = 19615906252800. Its totient is φ = 1535436840960.

The previous prime is 5955757318969. The next prime is 5955757319063. The reversal of 5955757319040 is 409137575595.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60244371 + ... + 60343149.

It is an arithmetic number, because the mean of its divisors is an integer number (76624633800).

Almost surely, 2^{5955757319040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5955757319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807953126400).

5955757319040 is an abundant number, since it is smaller than the sum of its proper divisors (13660148933760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5955757319040 is a wasteful number, since it uses less digits than its factorization.

5955757319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99845 (or 99833 counting only the distinct ones).

The product of its (nonzero) digits is 29767500, while the sum is 60.

The spelling of 5955757319040 in words is "five trillion, nine hundred fifty-five billion, seven hundred fifty-seven million, three hundred nineteen thousand, forty".